High levels of uncertainty are a trademark of geological investigations, such as the search for oil, diamonds, and uranium. While uncertainties, geological risks and natural hazards are often mentioned in geological textbooks, conferences papers, and articles, no comprehensive and systematic evaluation has so far been attempted.

1 Introduction.- 2 Review of the Main Uncertainties and Risks in Geology.- 3 Probabilistic Approaches for Handling Uncertainties.- 4 Review of Uncertainty Oriented Mathematical Methods.- 5 Test Calculations and Other Applications.- 6 Conclusions.- References.

From the reviews: "The last decade has seen the emergence of a large body of literature devoted to the quantification, analysis, and management of risks and uncertainties. As its title indicates, the present book aims to cover this important topic not only from the geological, but also the mathematical point of view. … this book provides a clear overview of several methods for the analysis of uncertainties, risk, and natural hazards in geology with a strong emphasis on fuzzy set theory." (Pierre Goovaerts, Environment and Planning B: Planning and Design, Vol. 33 (1), 2006) "The authors have undertaken the task of evaluating uncertainty and risks in geology. … I have to complement the authors for making the readers aware of possible uses and misuses of math in geology. … The book provides a good summary of existing uncertainty-oriented methods. … I recommend the book to geoscientists who want to learn basic mathematics of uncertainty-oriented methods." (Marek Kacewicz, Computer & Geosciences, Vol. 32, 2006) "The authors express the view that geological investigations are characterised by particularly high uncertainties leading to high risk decisions … . This book is an interesting read for geologists dealing with the impact of uncertainty in geological problems … . it is valuable in providing a clear introduction to the use of Interval Analysis and Fuzzy Numbers to describe uncertainty in geological problems." (Neil Schofield, TAG, Issue 142, 2007)

Systematic overview of uncertainties and risks in geology, a comprehensive and comparative presentation, and application, of mathematical methods for their handling Detailed test calculations for selected geological subjects